Yoko and Wendy have some biscuits each. If Yoko gives Wendy 34 biscuits, Yoko will have
67 as many biscuits as Wendy. If Yoko gives Wendy 7 biscuits, they will have an equal number of biscuits. How many biscuits does Wendy have at first?
|
Case 1 |
Case 2 |
|
Yoko |
Wendy |
Yoko |
Wendy |
Before |
6 u + 34 |
7 u - 34 |
6.5 u + 7 |
6.5 u - 7 |
Change |
- 34 |
+ 34 |
- 7 |
+ 7 |
After |
6 u |
7 u |
6.5 u |
6.5 u |
Total number of biscuits that Yoko and Wendy have
= 6 u + 7 u
= 13 u
Number of biscuits that Yoko and Wendy each has in the end is the same.
Number of biscuits that Yoko and Wendy each has in the end in Case 2
= 13 u ÷ 2
= 6.5 u
Number of biscuits that Yoko had at first is the same in Case 1 and Case 2.
6.5 u + 7 = 6 u + 34
6.5 u - 6 u = 34 - 7
0.5 u = 27
1 u = 27 ÷ 0.5 = 54
Number of biscuits that Wendy has
= 7 u - 34
= 7 x 54 - 34
= 378 - 34
= 344
Answer(s): 344